Paper Citation Record · LEDGER

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain

As of 12 August 2026, this Paper Citation Record lists 71 of 71 outbound references and 2 inbound Pith citation observations for arXiv:2508.19334.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2508.19334 v1

Coverage vector

measured 71 of 71 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:57:39.248952Z

measured 73 of 73 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T00:40:11.869769Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-01T15:25:48.704204Z

Reference resolution

71 of 71 outbound references displayed

verified exact3
verified fuzzy31
unresolved37
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0f4253d0-d50b-4b7d-a82a-c84c29bbde47 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.440995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 369da7d9-82b1-4c70-958e-ba9d4cc6efad · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.424142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5db2b255-35a8-4a43-852d-e7d87ed9e72e · outbound

This paper cites Our tower-summed TBA yields closed forms for Fimp(T ) and Simp(T ) with the correct T → 0, ∞ lim- its, in quantitative agreement with tensor network/ED benchmarks.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Our tower-summed TBA yields closed forms for Fimp(T ) and Simp(T ) with the correct T → 0, ∞ lim- its, in quantitative agreement with tensor network/ED benchmarks

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:40.405659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0eeb0532-01c1-4cf4-9a69-8457a4aa5e77 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T15:57:38.946511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10d93315-b5bd-4a8c-bc77-74e092a24c6c · outbound

This paper cites Bethe, Zur theorie der metalle.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Bethe, Zur theorie der metalle

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:40.387560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 361561ce-930e-47d6-98fe-e1e5fa8ea58f · outbound

This paper cites Hulth´ en,¨Uber das Austauschproblem eines Kristalles, Arkiv f¨ or Matematik, Astronomi och Fysik 26A, 1 (1938).

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Hulth´ en,¨Uber das Austauschproblem eines Kristalles, Arkiv f¨ or Matematik, Astronomi och Fysik 26A, 1 (1938)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:40.371927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c6581bc6-c4fc-4ad6-809e-d05956b46336 · outbound

This paper cites Orbach, Linear antiferromagnetic chain with anisotropic coupling, Physical Review 112, 309 (1958).

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Orbach, Linear antiferromagnetic chain with anisotropic coupling, Physical Review 112, 309 (1958)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:40.356388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1cab4694-8797-4078-a155-5d98a36907dc · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.281194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e76bb028-6317-4bbe-8597-c07dfb70c43a · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.329450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 57092e78-a6e1-4d25-a5a4-10fe68d7960c · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.313203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1525aee9-8cd4-47d0-b21c-5d1216f9e978 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.297247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 572befa3-bd5a-4dfa-9831-cc8415dc60aa · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.222764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9050eef4-9bea-4eda-8b4b-f55fa1a8c7ee · outbound

This paper cites Takahashi, One-dimensional heisenberg model at fi- nite temperature, Progress of Theoretical Physics46, 401 (1971).

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Takahashi, One-dimensional heisenberg model at fi- nite temperature, Progress of Theoretical Physics46, 401 (1971)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:40.265091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bee778e7-0869-4ade-89d6-e127a35d411d · outbound

This paper cites Takahashi, Thermodynamics of One-Dimensional Solvable Models (Cambridge University Press, 1999).

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Takahashi, Thermodynamics of One-Dimensional Solvable Models (Cambridge University Press, 1999)

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T15:57:38.978943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db550d3e-a6ea-4036-a821-cb259f4b0732 · outbound

This paper cites Luther and I.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Luther and I

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:40.238474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 24a4de5a-d357-4812-9f88-ff6fff0f623b · outbound

This paper cites Giamarchi, Quantum Physics in One Dimension (Ox- ford University Press, 2003).

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Giamarchi, Quantum Physics in One Dimension (Ox- ford University Press, 2003)

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-05T15:57:39.010458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f801610c-ec88-471f-966b-5f69bf0c106f · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.205906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c558985c-4686-4868-bab8-c4ae8c6e3a91 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.189887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f50869ed-62f2-4e37-b6d0-b5309656d07b · outbound

This paper cites Affleck, Quantum spin chains and the haldane gap, Journal of Physics: Condensed Matter 1, 3047 (1989).

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Affleck, Quantum spin chains and the haldane gap, Journal of Physics: Condensed Matter 1, 3047 (1989)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:40.174734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3d300ad9-8adb-40df-9c8c-bda5604b163f · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-08-05T15:57:39.303410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 97543926-584b-40a8-9b15-15593fd45c64 · outbound

This paper cites Gaines, G.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Gaines, G

Reference 21

Resolution: verified exact; raw_fallback, observed 2026-08-05T15:57:39.469151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 42f6a145-ada8-4060-ab58-04d6550650d1 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.147308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2b89ced4-3ced-49c8-93b9-fd4556ad2169 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.131396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d47fbf61-6475-49ce-9d6d-c62c13d209fa · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.065944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3dbc4fb1-056c-477a-be56-1a135a19d380 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.115717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 74b16b36-2c50-4d65-99ae-733f62f40160 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.100475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4e7f133c-d7b8-430e-80dc-10ca756176b0 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.083909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 686351ac-34c6-49f3-b3e2-270fcee1a1f4 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.017047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b4ee77cc-f9c9-48a6-b0fe-a1e40eb56147 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-08-05T15:57:39.288279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8c229d8a-1e59-45af-aced-5856991e3b31 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.049719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 93dfe717-f11a-4f48-af64-b4768a31e545 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:40.032799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 408a9091-64fe-46e0-a5ef-e75fa5cf5a30 · outbound

This paper cites Steiner, J.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Steiner, J

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.953355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 39e0358b-bc53-4e6b-ae68-d337997ab994 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:39.999800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9b7308ca-eb73-48ca-960b-73ec080bc28d · outbound

This paper cites Scheie, P.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Scheie, P

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.983132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 11e85b9f-f9ae-41ed-80f8-0f816a6cd9cd · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:39.967977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7768dee5-3f99-4ea2-bcc6-f3f190f322b4 · outbound

This paper cites Zhang, G.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Zhang, G

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-05T15:57:39.103853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3aa5817-a96f-420e-857d-ed30501a2b49 · outbound

This paper cites Nagler, D.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Nagler, D

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.938896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 08b6e5b3-85b2-4254-ad40-ad3ab58ce446 · outbound

This paper cites Salath´ e, M.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Salath´ e, M

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.924461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 001db84f-d830-444e-9636-a6bfe5c7a417 · outbound

This paper cites Monroe, W.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Monroe, W

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-05T15:57:39.099458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c31a180d-ba58-4f31-b478-8df195fdadd6 · outbound

This paper cites Franchini et al.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Franchini et al

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.846651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ef471082-a290-4b35-880f-7eddec681503 · outbound

This paper cites Zhang, F.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Zhang, F

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.891126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bddd7ff3-69b9-4ce6-ba64-b351d4c5cdca · outbound

This paper cites Chakhalian, R.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Chakhalian, R

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.876296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e70d90f8-ab42-4780-91f1-fe1135eafaa5 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:39.861876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e53940ec-25fd-4bfc-a452-855259c480a9 · outbound

This paper cites Kattel, P.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Kattel, P

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.783641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 612fd6b9-73af-4ec2-a073-b2b38d8a09fe · outbound

This paper cites Wang, Exact solution of the open heisenberg chain with two impurities, Physical Review B56, 14045 (1997).

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Wang, Exact solution of the open heisenberg chain with two impurities, Physical Review B56, 14045 (1997)

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.832068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 082b6d15-3f83-4457-8e3c-1b6207a24614 · outbound

This paper cites Frahm and A.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Frahm and A

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.815953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f9ab7403-439a-48a6-a66a-48ce373b8e19 · outbound

This paper cites Hu and F.-C.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Hu and F.-C

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.799236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 760ae2bb-7278-4e89-a6e6-67211f828cb9 · outbound

This paper cites Andrei, K.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Andrei, K

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-05T15:57:39.160161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25d13845-c9e9-416c-8e80-654df78ba903 · outbound

This paper cites Kattel, P.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Kattel, P

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.768148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation face6928-fe6a-4a85-955f-84f2fd1d18bf · outbound

This paper cites Laflorencie, E.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Laflorencie, E

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.752644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 27098541-3569-4b78-8023-78503896c8fd · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:39.736914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ad8ddae2-b1de-4cb9-bd2e-b8f216b7a0df · outbound

This paper cites Friedan and A.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Friedan and A

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.692842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 22ce5013-ee56-4bdc-8751-664fa04ae408 · outbound

This paper cites Tsvelick and P.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Tsvelick and P

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-05T15:57:39.164822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae8a0d46-1c53-4818-a25e-1b9b76fd4980 · outbound

This paper cites Conformal Field Theory Approach to the Kondo Effect.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Conformal Field Theory Approach to the Kondo Effect

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-05T15:57:39.169238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5c828eb-107a-44c9-81e5-f6c8fcf71bf0 · outbound

This paper cites ln 1 + η⌊2γ⌋+1(λ) cosh π λ + iυ 2 (2γ − ⌊2γ⌋) − ln 1 + η⌊2γ⌋(λ) cosh π λ + iυ 2 (⌊2γ⌋ −2γ + 1) # , F imp BS = T 4 X υ=± Z dλ.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain ln 1 + η⌊2γ⌋+1(λ) cosh π λ + iυ 2 (2γ − ⌊2γ⌋) − ln 1 + η⌊2γ⌋(λ) cosh π λ + iυ 2 (⌊2γ⌋ −2γ + 1) # , F imp BS = T 4 X υ=± Z dλ

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:40.456937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 09b68859-4c81-409a-b505-4d7847a15930 · outbound

This paper cites ground-state degeneracy.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain ground-state degeneracy

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-05T15:57:39.174218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 350539a6-24ce-462f-82dc-e8b136c31ec2 · outbound

This paper cites Kattel, Y.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Kattel, Y

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.677974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 577f2fda-330d-4dfe-9096-866b677d7115 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:39.663104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7b3ed4c8-f22c-4cc6-8f84-a095d75851e5 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 59

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:39.647857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e480119e-7f3c-4ea7-bc3b-378be0e85a87 · outbound

This paper cites Kattel, A.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Kattel, A

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.632376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e61dcbf9-bcd2-431d-bbee-408eba27404b · outbound

This paper cites Wang, W.-L.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Wang, W.-L

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.617652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4acb69f1-0b98-43c4-bb6a-2d7150abd580 · outbound

This paper cites Pozsgay, On o(1) contributions to the free energy in bethe ansatz systems: the exact g-function, Journal of High Energy Physics 2010, 1 (2010).

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Pozsgay, On o(1) contributions to the free energy in bethe ansatz systems: the exact g-function, Journal of High Energy Physics 2010, 1 (2010)

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.603465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d4683649-a052-40ce-8f2a-e9be551ef7e9 · outbound

This paper cites Exact g-function without strings.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Exact g-function without strings

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-05T15:57:39.210553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6428e69-61c8-4064-80a2-edca7d39dd47 · outbound

This paper cites Verstraete, J.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Verstraete, J

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.588902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b4773533-c80a-4673-84b7-9fb347bf2f32 · outbound

This paper cites Zwolak and G.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Zwolak and G

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.573600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7950acbe-7c1b-41a4-847d-9465b6d07046 · outbound

This paper cites Fishman, S.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Fishman, S

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-05T15:57:39.224398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3c04888-2e55-4842-bdc5-a6714128d14b · outbound

This paper cites 2 mX k=1 X v=± Kn(µ + iv(γ − k)) + Kn(µ + iv(γ − m − 1)) # (S.52) and the impurity free energy ends up to be F imp hBS = −4π mX k=0 K1(i(γ − 1/2 − k)) + T 2 X n Z dλ X v=±.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain 2 mX k=1 X v=± Kn(µ + iv(γ − k)) + Kn(µ + iv(γ − m − 1)) # (S.52) and the impurity free energy ends up to be F imp hBS = −4π mX k=0 K1(i(γ − 1/2 − k)) + T 2 X n Z dλ X v=±

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.547574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b694a59c-a30b-4fbf-8623-186df1b04c50 · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 68

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:39.532191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fbf8ed5c-e90e-4527-be2c-29b808a16f5d · outbound

This paper cites , nmax, form the right-hand side of Eq.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain , nmax, form the right-hand side of Eq

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.517779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation dcc832b9-63ed-4d4e-9223-d012bc59c59c · outbound

This paper cites an unresolved cited work.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Unresolved cited work

Reference 70

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:57:39.501230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 25d11a4d-9597-455f-89d5-07c124daab83 · outbound

This paper cites Convergence is declared once the maximum difference max 1≤n≤nmax max λ η(k+1) n (λ) − η(k) n (λ) < tol, (S.61) with tol = 10 −10, is achieved.

Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain Convergence is declared once the maximum difference max 1≤n≤nmax max λ η(k+1) n (λ) − η(k) n (λ) < tol, (S.61) with tol = 10 −10, is achieved

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:57:39.485795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation c632307c-f85b-4285-a329-f808180e97b5 · inbound

Monotonic Impurity Entropy beyond Unitarity: the $\mathscr{PT}-$Symmetric Quantum Impurity Model cites this paper.

Monotonic Impurity Entropy beyond Unitarity: the $\mathscr{PT}-$Symmetric Quantum Impurity Model Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-01T15:25:48.706007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b7f415e5-1057-43ea-8ed0-c08ea5c34778 · inbound

Breakdown of Monotonic Impurity Entropy Flow in $\mathscr{PT}$-Symmetric Multichannel Kondo Systems cites this paper.

Breakdown of Monotonic Impurity Entropy Flow in $\mathscr{PT}$-Symmetric Multichannel Kondo Systems Thermodynamics in a split Hilbert space: Quantum impurity at the edge of the Heisenberg chain

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-08T00:40:11.869769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.